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SR-270X College
User Manual [ru]
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CITIZEN SR-270X College User Manual [ru]

File name: HDBR100DE04_Cover_front version : 2011/03/02
PARTS NO. HDBR100DE04 (SR100D)
SIZE:140x75mm
General Guide .................................................3
Before Starting Calculation ............................ 4
Basic Calculations ........................................ 10
Scientific Function Calculations .................. 12
Turning on or off.............................................3
Battery replacement ....................................... 3
Auto power-off function ................................. 3
Reset operation .............................................. 3
Contrast adjustment....................................... 3
Display readout ..............................................4
Using " MODE " keys......................................4
Using " SET UP " keys....................................5
Using Math Mode............................................ 6
Using " 2nd " " ALPHA " Keys........................ 6
Making corrections during Input.................... 6
Error Position Display Function.....................6
Replay function ..............................................6
Memory calculation ........................................ 7
Order of operations ........................................8
Accuracy and Capacity...................................8
Error conditions ...........................................10
Arithmetic calculation .................................. 10
Parentheses calculations............................. 11
Percentage calculation................................. 11
Display notations.......................................... 11
Answer Function ..........................................12
Logarithmic and Exponential functions....... 12
Fraction calculation......................................12
Angle unit conversions ................................ 13
Sexagesimal ↔ Decimal transformation...... 13
Trigonometric / Inverse-Tri. functions.......... 13
Hyperbolic / Inverse-Hyp. functions.............13
Coordinates transformation ......................... 14
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Abs, RND, PPCM, PGCD, ENT, ENTEX )........................ 15
Statistical Calculations .................................15
Equation Calculations...................................18
Function Table...............................................19
Function Verify..............................................19
Proportionality Calculations.........................20
Probability ....................................................14
Division with Quotient and Remainder ........14
Using CALC ..................................................15
Other functions ( √, 3, X, x-1, x2, x3, xy ,
Multi-statement Function .............................15
To Enter data for statistical analysis............16
To analyze data you have entered................ 16
To view or change data ................................ 18
To solve simultaneous linear equations ......18
To solve the value of X .................................20
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General Guide
Turning on or off
To turn the calculator on, press [ ON ]; To turn the calculator off, press [ 2nd ] [ OFF ].
Battery replacement
The calculator is a dual power system which is powered by one button-type battery (G13 or L1154) and a solar cell. If the display becomes dim and difficult to read, the batteries should be replaced as soon as possible.
To replace batteries:
1) Remove the screw and the battery compartment cover.
2) Remove the old battery and insert a new one with polarity in correct directions, then replace the cover.
3) After changing battery, please use a pointed object to press the reset hole at the rear of this unit.
Auto power-off function
This calculator automatically turns off when not operated for approximately 3~9 minutes. It can be reactivated by pressing [ ON ] key and the memory, settings are retained.
Reset operation
If the calculator is on but you get unexpected results, press [ 2nd ] [ CLR ] in sequence. A message appears on the display to confirm whether you want to reset the calculator and clear memory contents after selecting [ 3 ].
Clear? 1: Se tup 2:M em ory 3: A ll
[ 3 ]
Re set A ll? [ = ] : Yes [AC ] : C ancel
To clear all variables, pending operations, statistical data, answers, all previous entries, and memory, please press [ = ]; To cancel the reset operation without clearing the calculator, please press [ AC ].
If the calculator is lock and further key operations becomes impossible, please use a pointed object to press the reset hole at the rear of this unit to release the condition. It will return all settings to default settings.
Contrast adjustment
Pressing the [ W ] or [ X ] following [ 2nd ] [ SET UP ] [ T ] [ 5 ] (WCONTX) keys in sequence can make the contrast of the screen lighter or darker. Holding either key down will make the display become respectively lighter or darker. After finishing your setting, press [ AC ] to exit.
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Display readout
The display comprises the entry line, the result line, and indicators.
D
Math
Entry line
12369x7532x1032
c
9. 3163308
The calculator displays an entry of up to 99 digits.
Entry line
Result line
Indicators
Indicator Meaning
2nd 2nd set of function keys are active
A Alphabetic keys are active
M There is a number in the memory STO Storing variable mode is active RCL Recalling variable mode is active STAT Statistics mode is active Math Math style is selected as the Input/output format
D R G Angle mode: Degrees, Radians, or Gradians
FIX A fixed number of decimal places is in effect SCI A fixed number of Scientific notation is in effect
TS
Disp Displayed value is intermediate result when performing
Entries begin on the left; those with more than 15 digits scroll to the left. Press [ X ] and [ W ] to move the cursor through an entry. However, whenever you input the 89th digit of any calculation, the cursor changes from " " to " " to let you know memory is running low. If you still need to input more, you should divide your calculation into two or more parts.
It displays a result of up to 10 digits, as well as a
decimal, a negative sign, a " x10 " indicator, and a 2-digit positive or negative exponent.
The following indicators may appear on the display to
indicate the current status of the calculator.
There are earlier or later results that can be displayed
multi-statement function
Ind icat or
39
x10
Result l ine
Before Starting Calculation
Using " MODE " keys
Press [ MODE ] to display mode menus when specifying an operating mode ( " 1: COMP ", " 2: STAT ", " 3: EQN ", " 4: TABLE ", " 5: VERIF ", " 6: PROP " ).
COMP : Use this mode for basic calculations, including
STAT : Use this mode to perform single–variable and
scientific calculations. (the default)
paired–variable statistical calculations and regression calculations.
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EQN : Use this mode to solve simultaneous linear equations
with two or three unknowns.
TABLE : Use this mode to display a defined function in a tabular
form.
VERIF : Use this mode to perform the numerical comparison
and check.
PROP : Use this mode to perform ratio expression calculations.
Give " 2: STAT " as an example:
Method : Press [ MODE ] and then key in directly the number of
the mode, [ 2 ] , to enter the desired mode immediately.
Using " SET UP " keys
[ 2nd ] [ SET UP ] display the setup menu that enables you to specify the input /output format, the angle mode, the numeric notation, the statistical setting or the contrast adjustment. The setup menu consist of two screens which you can jump between by using [ T ] and [ S ].
1: MthIO
3: Deg
5: Gra
7: Sci
MthIO : Math mode displays inputs and outputs in textbook
LineIO : Linear mode displays inputs and outputs in a single
Deg : Deg mode sets the angle unit to degrees (the default) Rad : Rad mode sets the angle unit to radians Gra : Gra mode sets the angle unit to gradians. Fix : Fix decimal setting (0 through 9) Sci : Scientific notation (0 through 9) Norm : Norm specifies the range (Norm1, Norm2) in which
ab/c : ab/c displays the fraction in mixed number format d/c : d/c displays the fraction in improper format (the
STAT : STAT sets the Statistical Data Editor Screen to show
SIMP : SIMP sets the fraction simplification to Auto or
Disp : Disp sets the decimal point to Dot ( . ) or Comma ( , ) (Dot is the default)
▼
2: LineIO
4: Rad
6: Fix 8: Norm
format. (the default)
line.
the results are to be displayed in exponential format or in non-exponential format (Norm1 is the default)
default)
or hide the FREQ column
Manual (Auto is the default)
▼
1: ab/c
3: STAT
5: Disp
▲
▲
2: d/c
4: SIMP
6: ◄CONT►
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CONTX : Contrast Adjustment
W
Using Math Mode
Press [ 2nd ] [ SET UP ] [ 1 ] to enter Math mode. While in math
mode, the values for functions such as
e X, √, 3,
in a mathematically written way. By default, this calculator is in Math
mode. See Example 1~2.
When you press [ 2nd ], the " 2nd " indicator shown on the display indicates that you will be selecting the second function of the next key you press. If you press [ 2nd ] by mistake, simply press [ 2nd ] again to remove the " 2nd " indicator. For Example, [ 2nd ] [ sin –1 ] 1 [ = ] calculates the sin –1 of 1 and returns the result, 90.
When you press [ ALPHA ], the "A" indicator shown on the display indicates that you will be selecting the alphabetic function of the next key you press. If you press [ ALPHA ] by mistake, simply press [ ALPHA ] again to remove the " A " indicator. For Example, press [ ALPHA ] [ A ] to input the “A” on screen.
The vertical blinking cursor " " means the calculator is in insert mode. The horizontal blinking cursor " " means the calculator is in overwrite mode.
By default, the calculator is in insert mode. In linear format, you can press [ 2nd ] [ INS ] to switch between the two modes, whereas in Math format, you can use only the insert mode.
In insert mode, the character in front of the cursor " " will be deleted or inserted after you press [ DEL ] or enter a new character
In overwrite mode, the character at the cursor " " will be deleted by [ DEL ] key or replaced by any new character you enter.
To clear all characters, simply press [ AC ] in either mode.
When a mathematically illegal calculation performed causes an error and an error message ( See < Error conditions > ) appears, press [ W ] [ X ] and then the error position display function will tell you with the cursor where the error is. In that case, please make necessary corrections before executing the calculation again. See Example 3.
This function stores operations that just have been executed in COMP mode. After execution is completed, pressing [ T ] or [ S ] key will display the operation executed.
2
3
1−
,
X
y
,
,
X
X
X
Using " 2nd " " ALPHA " Keys
Making corrections during Input
Error Position Display Function
Replay function
d
b
, A
, log a b, Abs, 10x,
e
,x....can be entered and displayed
c
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You can continue moving the cursor by [ W ] or [ X] to display previous input steps and editing values or commands for subsequent execution. See Example 4.
The operation records in Memory are cleared each time when you turn off the calculator, press [ ON ] key, perform a “reset”, change display format or calculation mode.
When the memory is full, the oldest calculation records are deleted automatically to make room for the new ones.
Memory calculation
Memory variable
The calculator has seven memory variables for repeated use -- A, B, C, D, M, X, Y. You can store a real number in any of the seven memory variables. See Example 5.
• [ 2nd ] [ STO ] + [ A ] ~ [ D ], [ M ], [ X ] ~ [ Y ] lets you store values
to variables.
• [ RCL ] + [ A ] ~ [ D ], [ M ], [ X ] ~ [ Y ] recalls the value of the
variable.
• [ 0 ] [ 2nd ] [ STO ] + [ A ] ~ [ D ], [ M ], [ X ] ~ [ Y ] clears the
content to a specified memory variable.
• [ ALPHA ] + " memory variable " lets you insert the applicable
variables in a calculation.
• [ 2nd ] [ CLR ] [ 2 ] [ = ] clears all variables.
Running memory
You should keep the following rules in mind when using running memory. See Example 6.
• Press [ M+ ] to add a result to running memory and the " M "
indicator appears when a number is stored in the memory. Press [ RCL ] [ M ] to recall the content of running memory.
• Recalling from running memory by pressing [ RCL ] [ M ] key does
not affect its contents .
• Running memory is not available when you are in statistics mode.
• The memory variable M and running memory utilize the same
memory area.
• In order to replace the content of the memory with the displayed
number, please press [ 2nd ] [ STO ] [ M ] key.
• To clear the content of running memory, you can press [ 0 ] [ 2nd ]
[ STO ] [ M ] in sequence.
(Note) : Besides pressing [ 2nd ] [ STO ] [ M ] key to store a value,
you can also assign values to memory variable M by [ M+ ]. However, when [ 2nd ] [ STO ] [ M ] is used, previous memory contents stored in variable M are cleared and replaced with the newly assigned value. When [ M+ ] is used, values is added to present sum in memory.
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Order of operations
Each calculation is performed from left to right and in the following order of precedence:
1) Expression inside parentheses.
2) Functions with parentheses: PR, R P, PPCM, PGCD sin, cos, tan, sin –1, cos –1, tan –1, sinh, cosh, tanh, sinh –1,
cosh –1, tanh –1,
log, ln, √, 3, 10 X , e X , Abs, RND, ENT, ENTEX
3) Functions preceded by values, powers, power roots, for example, x 2, x 3, x–1, x!, DMS, ° , r , g , x y, X, %
4) Fractions
5) Negations ( – )
6) Statistical estimated value calculation:
7) nPr, nCr
8) x , , R Multiplication sign omitted immediately before function with parentheses: for example, 3π, 5B, Asin(30)
9) +, –
Accuracy and Capacity
Output digits : Up to 10 digits.
Calculating digits : Up to 16 digits
In general, every reasonable calculation is displayed up to 10 digits mantissa, or 10-digit mantissa plus 2-digit exponent up to 10
Numbers used as input must be within the range of the given function as follows:
Functions
sin x cos x
tan x
sin –1 x, cos –1 x tan –1 x
sinh x, cosh x
Deg : 0 ≦
Rad : 0 ≦
Grad : 0 ≦ Same as sin x, except when
Deg :
Rad :
Grad :
0 ≦
0 ≦
0 ≦
Input range
x
< 9 x 10 9
x
< 157079632.7
x
< 1 x 10 10
x
= 90 (2n-1)
π
x
=
(2n-1)
2
x
= 100 (2n-1)
x
≦ 1
x
< 1 x 10
x
≦ 230.2585092
ˆ
ˆ
ˆ
ˆ
,
,
,
y
x
1x
2x
π,
e, variable, and
± 99
.
100
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tanh x
sinh –1 x
cosh –1 x tanh –1 x
log x, ln x 10 x e x
x
x 2
x 3
x -1
3
x
X ! nPr
nCr
R P
P R
DMS eDMS
x y
x
y
PGCD PPCM SIMP
Ab/c
< 1 x 10 < 5 x 10 99
100
0 ≦
0 ≦
x
x
1 ≦ x < 5 x 10 99
x
0 ≦
< 1
0 < x < 1 x 10 –1 x 10 –1 x 10 0 ≦ x < 1 x 10
x
x
x
x
100
100
＜ x ＜ 100
100
＜ x ≦ 230.2585092
100
< 1 x 10 50
≦ 2.15443469003 x 10 33
100
＜1 x 10 < 1 x 10
100
, x≠0
0 ≦ x ≦ 69 ( x is an integer) 0≦r≦n, 0≦n<1 x 10 10 (n,r are integers) 1≦{n!/(n-r)!}<1 x 10 0≦r≦n, 0≦n<1 x 10 10 (n,r are integers) 1≦n!/r!<1 x 10
y
,
x
22
y+x
0 ≦ r ＜ 1 x 10
θ: same as sin x │D│, M, S ＜ 1 x 10
x
< 1 x 10
Decimal Q Sexagesimal Conversions
׀ ׀
0  0 ׀ 0 x > 0 : –1 x 10
x = 0 : y > 0 x < 0 : y = n, m/(2n+1) (m, n are integers) but –1 x 10
y > 0 : x ≠ 0, –1 x 10 y = 0 : x > 0
y < 0 : x = 2n+1, (2n+1)/m (m≠0, m, n are integers)
but –1 x 10
-1x1010 < x, y < 1x10 0 ≦ x, y < 1x10 1 ≦ n ≦ 9999 (n is an integer) Total of integer, numerator and denominator must be within 10 digits (includes division marks)
100
100
or 1≦{n!/(n-r)!}<1 x 10
100
＜ 1 x 10
100
＜ 1 x 10
100
100
x
≦
≦ 9999999  59 ׀ 59
100
< y log x < 100
100
< y log ⏐x⏐ < 100
100
1
100
<
log ⏐y⏐ < 100
x
10
10
(x, y are integers)
100
, 0 ≦ M, S
1
<
log y < 100
x
(x, y are integers)
100
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version : 10/05/31
STAT
Error conditions
Error message will appear on the display and further calculation becomes impossible when any of the following conditions occur.
Indicator Meanings
Math ERROR
Syntax ERROR
Stack ERROR
Argument ERROR
Non simplifiable
Insufficient MEM
Error
To release the above errors, please press [ W ] [ X ] to correct your error, or press [ AC ] key to cancel your calculation, or simply press [ ON ] key to reinitialize the calculator.
1–VAR :
a. n ≦ 80 lines (when FREQ column is OFF) b. n ≦ 40 lines (when FREQ column is ON)
2–VAR :
a. n ≦ 40 lines (when FREQ column is OFF) b. n ≦ 26 lines (when FREQ column is ON)
(1) You attempted to divide by 0 (2) When allowable input range of function
calculations exceeds the range specified
(3) When result of function calculations
exceeds the range specified
(4) When specifying an argument to a function
outside the valid range
(1) Input errors are made, ex. improper syntax (2) When improper arguments are used in
commands or functions
When a calculation expression exceeds the capacity of the numeric stack or command stack, ex.
When the [ ( ] key is used more than 25 levels in a single expression in linear mode
A function does not have the correct number of arguments.
When the value you specify is invalid as divisor for simplification
When there is insufficient memory to store data or perform your calculation
Basic Calculations
Use COMP ( [ MODE ] 1 ( COMP ) ) mode for basic calculations.
Arithmetic calculation
Arithmetic operations are performed by pressing the keys in the same sequence as in the expression. See Example 7.
For negative values, press [ (–) ] before entering the value.; You can enter a number in mantissa and exponent form by [ x10x ] key. See Example 8.
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Results equal to or greater than 10 10 or results less than 10 –9 are displayed in exponential form. See Example 9.
Parentheses calculations
Operations inside parentheses are always executed first. The calculator Math mode can use up to 24 levels and Linear mode can use up to 25 levels of consecutive parentheses in a single calculation.
Closed parentheses occurring immediately after operation of the [ ) ] key may be omitted, no matter how many are required. See Example
10.
(Note) : A multiplication sign " x " occurring immediately before
The correct result cannot be derived by entering [ ( ] 2 [ + ] 3 [ ) ] [ x10x ] 2. Be sure to enter [ x ] between the [ ) ] and [ x10x ] in Example 11.
[ 2nd ] [ % ] divides the number in the display by 100. You can use this key sequence to calculate percentages, add-ons, discounts, and percentage ratios. See Example 12~13.
The calculator has the following display notations for the display value. See Example 14.
Fixed Decimal Point Notation
To specify the number of decimal places, press [ 2nd ] [ SET UP ] [ 6 ] and then a value indicating the number of places ( 0~9 ). Values are displayed rounded off to the place specified.
Scientific Notation
Scientific notation expresses numbers with one digit to the left of the decimal and the appropriate power of 10.
To select scientific notation, press [ 2nd ] [ SET UP ] [ 7 ], and then a value (0~9) to specify the number of decimal digits. Values are displayed rounded off to the place specified.
Norm Notation
Press [ 2nd ] [ SET UP ] [ 8 ] and then select Norm1 (the default) or Norm2 to determine the range to display the result in non-exponential format (within the range) or in exponential format (out of the range).
Norm1:
Norm2:
Engineering Notation
Pressing [ ENG ] or [ 2nd ] [ eENG ] will cause the exponent display for the number being displayed to change in multiples of 3.
an open parenthesis can be omitted.
Percentage calculation
Display notations
≧
10 -2,
<
x
x
10 -9,
<
x
≧
x
10 10
10 10
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Answer Function
Answer function stores the most recently calculated result. It is retained even after the power is turned off. Once a numeric value or numeric expression is entered and [ M+ ], [ 2nd ] [ M– ], [ RCL ], [ 2nd ] [ STO ] or [ = ] is pressed, the result is stored by this function. See Example 15.
(Note) : Even if execution of a calculation results in an error,
however, Answer memory retains its current value.
Scientific Function Calculations
Use COMP ( [ MODE ] 1 ( COMP ) ) mode for scientific function calculations.
Logarithmic and Exponential functions
The calculator can calculate common and natural logarithms, and exponentiation using [ log ], [ ln ], [log a b], [ 2nd ] [ 10 x ], and [ 2nd ] [ e x ]. See Example 16~17.
Fraction calculation
Fraction value display is as follows:
Math format:
Linear format:
(Note) : Values are automatically displayed in decimal format
In Linear mode, to enter a mixed number, enter the integer part, press [ d/e ], enter the numerator, press [ d/e ], and enter the denominator ; To enter an improper fraction, enter the numerator, press [ d/e ], and enter the denominator. See Example 18.
During a fraction calculation, if the figure is reducible, a figure is reduced to the lowest terms after pressing the [ = ] key. The initial default for a fraction result is improper fraction. By pressing [ 2nd ]
d
[ A b/
_`
c fraction and vice versa. To convert between a decimal and fractional result, press [ F_`D ]. See Example 19.
Calculations containing both fractions and decimals are calculated in decimal format. See Example 20.
The initial default of the calculator is automatic simplification of fraction produced by fraction calculations. When the fraction simplification is set to manual, you can let the calculator automatically selects the smallest possible divisor for simplification or you can specify a divisor. See Example 21~22.
Improper Fraction
whenever the total number of digits of a fractional value ( integer + numerator + denominator + separator marks ) exceeds 10.
/e ], the displayed value will be converted to the mixed
12
5
12 」5
Mixed Fraction
5
56
12
56 」5 」12
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